Cost of letting different Aldershot houses (6)

I believe the answer is:

rental

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'cost of letting' is the definition.
'rental' can be an answer for 'letting' (synonyms). I'm not sure about the 'cost of' bit.

'different aldershot houses' is the wordplay.
'houses' indicates a hidden word (part of the clue houses the answer).
'RENTAL' can be found hidden inside 'different aldershot'.

Can you help me to learn more?

(Other definitions for rental that I've seen before include "Money paid for hire" , "4 across (anag)" , "Let" , "What's offered by a letter" , "money for landlord" .)

I've seen this clue in The Telegraph.

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